Imaginary Gauge-steerable Edge Modes In Non-Hermitian Aubry-André-Harper Model
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866908774941327360 |
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| author | Miao, Yazhuang Ding, Wei Wang, Litong Zhao, Xiaolong Liu, Shengguang Yi, Xuexi |
| author_facet | Miao, Yazhuang Ding, Wei Wang, Litong Zhao, Xiaolong Liu, Shengguang Yi, Xuexi |
| contents | We identify steerable exponentially localized in-gap mode in a quasiperiodic non-Hermitian Aubry-André-Harper chain with a spatially fluctuating, zero-mean imaginary gauge field. Under open boundary conditions, the system is exactly related to the Hermitian AAH model by a nonunitary gauge transformation: the OBC spectrum and Lyapunov exponents are unchanged, while eigenstates acquire a gauge-dependent envelope. In a parameter region with spectrally isolated in-gap boundary modes, we find two exponentially localized in-gap modes with sharply different responses to the imaginary gauge field. One remains boundary pinned, but the other is gauge-steerable: it stays exponentially localized while its probability maximum shifts as the gauge field is changed, with its eigenenergy unchanged. We further show that weak on-site gain, applied at a single site chosen once and then kept fixed, can dynamically prepare this steerable mode from a generic bulk wave packet. Changing the gauge field then yields exponentially localized states at different locations. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2601_06746 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Imaginary Gauge-steerable Edge Modes In Non-Hermitian Aubry-André-Harper Model Miao, Yazhuang Ding, Wei Wang, Litong Zhao, Xiaolong Liu, Shengguang Yi, Xuexi Optics Disordered Systems and Neural Networks We identify steerable exponentially localized in-gap mode in a quasiperiodic non-Hermitian Aubry-André-Harper chain with a spatially fluctuating, zero-mean imaginary gauge field. Under open boundary conditions, the system is exactly related to the Hermitian AAH model by a nonunitary gauge transformation: the OBC spectrum and Lyapunov exponents are unchanged, while eigenstates acquire a gauge-dependent envelope. In a parameter region with spectrally isolated in-gap boundary modes, we find two exponentially localized in-gap modes with sharply different responses to the imaginary gauge field. One remains boundary pinned, but the other is gauge-steerable: it stays exponentially localized while its probability maximum shifts as the gauge field is changed, with its eigenenergy unchanged. We further show that weak on-site gain, applied at a single site chosen once and then kept fixed, can dynamically prepare this steerable mode from a generic bulk wave packet. Changing the gauge field then yields exponentially localized states at different locations. |
| title | Imaginary Gauge-steerable Edge Modes In Non-Hermitian Aubry-André-Harper Model |
| topic | Optics Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2601.06746 |